Dear All,
SOLID STATE & STRUCTURAL CHEMISTRY UNIT
INDIAN INSTITUTE OF SCIENCE
BANGALORE – 560 012
SEMINAR
Speaker: Mr. Sambunath Das
Title
Eigenstate Thermalization Hypothesis
Date & Time: Thursday 25th October, 2018 at 4.00 PM
Venue: SSCU AUDITORIUM
Abstract:
Thermalization in an isolated classical system can be explained through chaotic dynamics and ergodicity. Can we use the same principle to explain the thermalization in quantum mechanical isolated system? Accorrding to J.M. Deutsch and M. Srednicki, this question can be answered through Eigenstate Theremalization Hypothesis (ETH). The ETH states that for non-integrable systems, the expectation value of any local observable for each energy eigenstate is same as the average value of that observable in the microcanonical ensemble. In my talk, I will discuss in detail quantum thermalization through ETH and also show how it is different from the classical thermalization. I will give a numerical example of ETH and show where ETH fails in different systems.
References:
1. Mark Srednicki ,Chaos and quantum thermalization,Phys. Rev. E, 50(2), 888-901,1994.
2. Marcos Rigol, Vanja Dunjko and Maxim Olshanii,Thermalization and its mechanism for generic isolated quantum systems,Nature Letter, 452, 854-855, 2008.
3. Hyungwon Kim, Tatsuhiko N. Ikeda and David A. Huse,Testing whether all eigenstates obey the Eigenstate Tharmalization Hypothesis, Phys. Rev. E, 90, 052105, 2014.